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Finding the Fourth Proportional to 144,762.33, 217,090.13 and 49,968.39

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Solution

The fourth proportional to 144,762.33, 217,090.13 and 49,968.39 is: 74,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,762.33 : 217,090.13 = 49,968.39 : x
  2. Step 2: Convert to fraction form
    144,762.33/217,090.13 = 49,968.39/x
  3. Step 3: Cross multiply
    144,762.33x = 217,090.13 × 49,968.39
  4. Step 4: Simplify right side
    144,762.33x = 10,847,644,031.15
  5. Step 5: Solve for x
    x = 10,847,644,031.15/144,762.33
  6. Step 6: Final answer
    x = 74,934.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.